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Popular >

integral from 1 to 4 of t^2-2t-8

Solution

\int_{1}^{4} t^{2} - 2 t - 8 d t

Solution

- 18

Solution steps

\int_{1}^{4} t^{2} - 2 t - 8 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{4} t^{2} d t - \int_{1}^{4} 2 t d t - \int_{1}^{4} 8 d t

\int_{1}^{4} t^{2} d t = 21

\int_{1}^{4} 2 t d t = 15

\int_{1}^{4} 8 d t = 24

= 21 - 15 - 24

Simplify

= - 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of t^2-2t-8 ?
The integral from 1 to 4 of t^2-2t-8 is -18